Explanation:

Alright, let’s break this down step by step, like two people at a whiteboard.

- We’ve got two pairs: 52 : 91 and 72 : ?

- First, let’s see how 52 turns into 91.

- 52 × 2 = 104 (Nope, too big)

- 52 + 39 = 91 (Possible, but let’s check for a pattern)

- Notice: 52 = 4 × 13, 91 = 7 × 13. Hmm, both have 13 as a factor.

- So, 52 is 4 × 13, 91 is 7 × 13. The difference: 4?7 (that’s +3)

- Now apply the same logic to the second pair.

- 72 divided by 13 is not whole, but maybe similar factor play?

- 72 = 8 × 9. Not matching yet. But what if we treat 52 as 4 × 13 and 91 as 7 × 13, so add 3 to the other factor, keep 13.

- Try 72 as 8 × 9.

- If we use same addition: 8 + 3 = 11, so try 11 × 9 = 99.

- But none of the options is 99.

- Let’s look at options:

- 98 = 7 × 14

- 126 = 9 × 14

- 109 = prime, doesn’t fit

- 138 = 2 × 69

- Maybe the pattern is multiplying first number by 1.75: 52 × 1.75 = 91. So, try 72 × 1.75 = 126.

Here’s the truth: option 2 (126) fits.

The correct answer is Option 2: 126.

- 52 to 91 is multiplying by 1.75

- 72 × 1.75 = 126

- None of the other options fit the same multiplier

- That multiplier (1.75) is key for both pairs

You nailed it. Option 2 is the answer.